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Finding the Fourth Proportional to 2,528.79, 3,793.17 and 797.42

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Solution

The fourth proportional to 2,528.79, 3,793.17 and 797.42 is: 1,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.79 : 3,793.17 = 797.42 : x
  2. Step 2: Convert to fraction form
    2,528.79/3,793.17 = 797.42/x
  3. Step 3: Cross multiply
    2,528.79x = 3,793.17 × 797.42
  4. Step 4: Simplify right side
    2,528.79x = 3,024,727.67
  5. Step 5: Solve for x
    x = 3,024,727.67/2,528.79
  6. Step 6: Final answer
    x = 1,196.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.